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ESSENTIAL DIMENSION OF ABELIAN VARIETIES OVER NUMBER FIELDS
ESSENTIAL DIMENSION OVER NUMBER FIELDS
2015/9/29
We affirmatively answer a conjecture in the preprint “Essential
dimension and algebraic stacks,” proving that the essential dimension of an
abelian variety over a number field is inʂ...
Moments on Riemann surfaces and hyperelliptic Abelian integrals
Moments Riemann surfaces hyperelliptic Abelian integrals Dynamical Systems
2011/9/9
Abstract: In the present paper we solve the following different but interrelated problems: (a) the moment problem on Riemann surfaces, (b) the vanishing problem of polynomial Abelian integrals of dime...
Generic representations of abelian groups and extreme amenability
Unitary representations measure-preserving actions Urysohn space extremely amenable group Polish group Baire category
2011/8/31
Abstract: If $G$ is a Polish group and $\Gamma$ is a countable group, denote by $\Hom(\Gamma, G)$ the space of all homomorphisms $\Gamma \to G$. We study properties of the group $\cl{\pi(\Gamma)}$ for...
Non abelian tensor square of non abelian prime power groups
Tensor square non abelian p-groups
2011/2/22
For every p-group of order pn with the derived subgroup of order pm, Rocco in [7] has shown that the order of tensor square of G is at most pn(n−m). In the present paper not only we improve his ...